4.75 is the answer list from least to greatest find the number in the middle
Answer:
The probability that our guess is correct = 0.857.
Step-by-step explanation:
The given question is based on A Conditional Probability with Biased Coins.
Given data:
P(Head | A) = 0.1
P(Head | B) = 0.6
<u>By using Bayes' theorem:</u>

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.
Now,
P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)
By putting the value, we get
P(Head) = 0.5 × 0.1 + 0.5 × 0.6
P(Head) = 0.35
Now put this value in
, we get



Similarly.

Hence, the probability that our guess is correct = 0.857.
10. Infinitely many solutions:

Simplify this equation:

When
the equation becomes

This equality is true for all x, thus the equation has infinitely many solutions.
11. The equation
should have one solution x=-1.
First, simplify the equation:

This equation will have solution x=-1 when

Therefore, the initial equation is

12. The equation
should have infinitely many solutions.
Simplify it:

When
this equation will have infinitely many solutions.
50 meters per second
3600 seconds per hour
1000 meters per km
50/1000 = 0.05
1/3600 = .0002777
0.05/0.0002777 = 180km per hour
180*4 = 720km in 4 hours
Answer:
4x³ + 12x²
Step-by-step explanation:
I assume the denominators are x² and 4x although that is not what you wrote.
x² = x² (already factored)
4x² + 12x = 4x(x + 3)
LCD = 4 × x² × (x + 3)
LCD = 4x³ + 12x²